Math Problem Statement

Find the derivative of 𝑦=π‘₯^(9𝑒)^(8π‘₯). y'=

Solution

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Math Problem Analysis

Mathematical Concepts

Exponential Functions
Logarithmic Differentiation
Chain Rule
Product Rule

Formulas

Derivative of a^bx = a^bx * b ln(a)
Product Rule: d(uv)/dx = u'v + uv'
Logarithmic Property: ln(a^b) = b ln(a)

Theorems

Chain Rule
Product Rule
Logarithmic Differentiation

Suitable Grade Level

Undergraduate - Calculus I/II